725984 divided by 45 
We want to figure out the number of times 725984 can be divided by 45.

Going ahead to step 1:
7 divided by 45 is 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 45

Step 2:
72 divided by 45 is 1 with a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 45 away from 72, we end up with 27.
Grab the next digit (5) from the dividend, add it to 27, then carry on: 275 / 45

Advancing to step 3:
275 divided by 45 is 6 with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Deduct 270 from 275 and we're left with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 45

Moving on to step 4:
When dividing 59 by 45, we get 1 with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 161.0
Subtracting 45 from 59 leaves us with 14.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 45

Step 5:
When dividing 148 by 45, we get 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 1613.0
Subtracting 135 from 148 leaves us with 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 45

Step 6:
45 goes into 134 2 times with a remainder of 44.
The next digit of our result is 2. 
Result so far: 16132.0
If we subtract 90 from 134, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 7:
440 divided by 45 is 9 with a remainder of 35.
The next digit of our result is 9. 
Result so far: 16132.9
If we subtract 405 from 440, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 8:
45 can be fit into 350 7 times, resulting in a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 16132.97
Subtract 315 from 350 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 9:
If we divide 350 by 45, we get 7 and a remainder of 35.
The next digit of our result is 7. 
Result so far: 16132.977
Subtracting 315 from 350 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 16132.977 with a remainder of 0.0035.